Question

find a and b if 2 root 5+ root 3 divided by 2 root 5 - root 3 + 2 root 5- root 3 divided by 2 root 5 + root 3 is equal to a+ root 15b

Answer 1

Answer:

Hey Mate...

Step-by-step explanation:

root5 + root 3 / root5 - root3 => A + B root15

rationalize , ..... (rt5 + rt3 )^2 / (rt5)^2 - (rt3)^2

 =>  5 + 2rt15 + 3 / 5 - 3

  8 + 2rt15 / 2  =>  2( 4 + rt15 ) / 2

2 gets cancel by division  so,

  4 + rt15 = A + B rt15

 therefore, A = 4 and B = 1

Answer 2

Answer:

Step-by-step explanation:

Hey ,

Let take up the values,

root5 + root 3 / root5 - root3 => A + B root15

(rt5 + rt3 )^2 / (rt5)^2 - (rt3)^2[By rationalization method].

=>  5 + 2rt15 + 3 / 5 - 3

8 + 2rt15 / 2  =>  2( 4 + rt15 ) / 2

2 gets cancel by division  so,

4 + rt15 = A + B rt15(roots are cancelled on both sides).

A = 4 and B = 1

So, therefore we can conclude that A=4 and B=1.